Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917557097725952 |
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| author | Chekhlov, Andrey R. Danchev, Peter V. |
| author_facet | Chekhlov, Andrey R. Danchev, Peter V. |
| contents | A famous conjecture attributed to Dardano-Dikranjan-Rinauro-Salce states that any uniformly fully inert subgroup of a given group is commensurable with a fully invariant subgroup (see, respectively, [5] and [6]). In this short note, we completely settle this problem in the affirmative for an arbitrary Abelian group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_15932 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups Chekhlov, Andrey R. Danchev, Peter V. Rings and Algebras Group Theory 20K10, 20K12 A famous conjecture attributed to Dardano-Dikranjan-Rinauro-Salce states that any uniformly fully inert subgroup of a given group is commensurable with a fully invariant subgroup (see, respectively, [5] and [6]). In this short note, we completely settle this problem in the affirmative for an arbitrary Abelian group. |
| title | Solution to the Uniformly Fully Inert Subgroups Problem for Abelian Groups |
| topic | Rings and Algebras Group Theory 20K10, 20K12 |
| url | https://arxiv.org/abs/2307.15932 |